Least Common Multiple of 759 and 765

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 759 and 765 the smallest integer that is 193545 that is divisible by both numbers.

Least Common Multiple (LCM) of 759 and 765 is 193545.

LCM(759,765) = 193545

LCM of 759 and 765

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 759 and 765

LCM of 759 and 765 is 193545

Least common multiple can be found by multiplying the highest exponent prime factors of 759 and 765. First we will calculate the prime factors of 759 and 765.

Prime Factorization of 759


3 759
11 253
23 23
1

Prime factors of 759 are 3, 11,23. Prime factorization of 759 in exponential form is:

759 = 31×111×231

Prime Factorization of 765


3 765
3 255
5 85
17 17
1

Prime factors of 765 are 3, 5,17. Prime factorization of 765 in exponential form is:

765 = 32×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 759 and 765.

LCM(759,765) = 32×51×111×171×231
LCM(759,765) = 193545

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Least Common Multiple of 759 and 765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 759 and 765, than apply into the LCM equation.

GCF(759,765) = 3
LCM(759,765) = ( 759 × 765) / 3
LCM(759,765) = 580635 / 3
LCM(759,765) = 193545

Properties of LCM 759 and 765

(i) The LCM of 765 and 759 is associative

LCM of 759 and 765 = LCM of 765 and 759

Related Least Common Multiples of 759

Related Least Common Multiples of 765

Frequently Asked Questions on LCM of 759 and 765

1. What is the LCM of 759 and 765?

Answer: LCM of 759 and 765 is 193545.

2. What are the Factors of 759?

Answer: Factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759. There are 8 integers that are factors of 759. The greatest factor of 759 is 759.

3. What are the Factors of 765?

Answer: Factors of 765 are 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765. There are 12 integers that are factors of 765. The greatest factor of 765 is 765.

4. How to Find the LCM of 759 and 765?

Answer:

Least Common Multiple of 759 and 765 = 193545

Step 1: Find the prime factorization of 759

759 = 3 x 11 x 23

Step 2: Find the prime factorization of 765

765 = 3 x 3 x 5 x 17

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 193545 = 3 x 3 x 5 x 11 x 17 x 23

Step 4: Therefore, the least common multiple of 759 and 765 is 193545.